ASCENDING AND DESCENDING ORDER OF FRACTIONS WORKSHEET

Problem 1 :

Place these fractions in ascending order:

1/8, -2/3, 3/11, -1/6, -3/4

Problem 2 :

Place these fractions in ascending order:

-4/5, -1  1/3, 1/2, -1/10, 5/6

Problem 3 :

Place these fractions in ascending order:

-3/4, 1  1/4, 2/3, -1  1/2, 4/5

1. Solution :

LCM of (8, 3, 11, 6, 4)

LCM  =  264

1/8  =  (1/8) ⋅ (33/33)  ==>  33/264

-2/3  =  (-2/3) ⋅ (88/88)  ==>  -176/264

3/11  =  (3/11) ⋅ (24/24)  ==>  72/264

-1/6  =  (-1/6) ⋅ (44/44)  ==>  -44/264

-3/4  =  (-3/4) ⋅ (66/66)  ==>  -198/264

Arranging the equivalent fractions in ascending order.

-198/264, -176/264, -44/264, 33/264, 72/264

Arranging corresponding fractions of equivalent fractions in ascending order, we get

-3/4, -2/3, -1/6, 1/8, 3/11

2. Solution :

LCM of (3, 2, 5, 6, 10)

LCM  =  30

-4/5  =  (-4/5) ⋅ (6/6)  ==>  -24/30

-4/3  =  (-4/3) ⋅ (10/10)  ==>  -40/30

1/2  =  (1/2) ⋅ (15/15)  ==>  2/30

-1/10  =  (-1/10) ⋅ (3/3)  ==>  -3/30

5/6  =  (5/6) ⋅ (5/5)  ==>  25/30

Arranging the equivalent fractions in ascending order.

-40/30, -24/30, -3/30, 2/30, 25/30

Arranging corresponding fractions of equivalent fractions in ascending order, we get

-4/3, -4/5, -1/10, 1/2, 5/6

3. Solution :

LCM of (2, 3, 4, 5)

LCM  =  60

-3/4, 1  1/4, 2/3, -1  1/2, 4/5

-3/4  =  (-3/4) ⋅ (15/15)  ==>  -45/60

5/4  =  (5/4) ⋅ (15/15)  ==>  75/60

2/3  =  (2/3) ⋅ (20/20)  ==>  40/60

-3/2  =  (-3/2) ⋅ (30/30)  ==>  -90/60

4/5  =  (4/5) ⋅ (12/12)  ==>  48/60

Arranging the equivalent fractions in ascending order.

-90/60, -45/60, 40/60, 48/60, 75/60

Arranging corresponding fractions of equivalent fractions in ascending order, we get

-3/2, -3/4, 2/3, 4/5, 5/4

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